If A = {7, 8}, which of the following is a proper subset of A?
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Answer and explanation
Correct answer: {7}
A proper subset must contain only elements of A and must not be equal to A itself. The set {7} satisfies both conditions: 7 belongs to A, and {7} has fewer elements than {7, 8}. Option B is equal to A rather than proper, while options C and D contain 9, which is not an element of A. Hence {7} is correct.
Frequently asked questions
What is the correct answer to this question?
{7}
Why is this the correct answer?
A proper subset must contain only elements of A and must not be equal to A itself. The set {7} satisfies both conditions: 7 belongs to A, and {7} has fewer elements than {7, 8}. Option B is equal to A rather than proper, while options C and D contain 9, which is not an element of A. Hence {7} is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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